Question

3. If two angles <A and <B are vertically opposite to each other and are supplementary, their
measures are
a) 120°, 60°
b) 150°, 30°
c) 90°, 90°
d) 135°, 45°
​

Answer 1

Let one of the angle be x
Given that,
Angles are vertically opposite

Therefore the 2 angles are equal

Also , they are supplementary.
Therefore ,

x+x= 180
2x = 180

Therefore ,x = 90degree

Therefore the 2 angles are
c) 90,90 degree